157551044026200 has 192 divisors, whose sum is σ = 532836168088320. Its totient is φ = 38192243904000.

The previous prime is 157551044026183. The next prime is 157551044026217. The reversal of 157551044026200 is 2620440155751.

157551044026200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157551044026183) and next prime (157551044026217).

It is a super-2 number, since 2×157551044026200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130919230 + ... + 132117170.

It is an arithmetic number, because the mean of its divisors is an integer number (2775188375460).

Almost surely, 2^{157551044026200} is an apocalyptic number.

157551044026200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157551044026200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266418084044160).

157551044026200 is an abundant number, since it is smaller than the sum of its proper divisors (375285124062120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157551044026200 is a wasteful number, since it uses less digits than its factorization.

157551044026200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217898 (or 1217889 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 157551044026200 in words is "one hundred fifty-seven trillion, five hundred fifty-one billion, forty-four million, twenty-six thousand, two hundred".