157465426800 has 240 divisors, whose sum is σ = 550768320000. Its totient is φ = 38138880000.

The previous prime is 157465426759. The next prime is 157465426813. The reversal of 157465426800 is 8624564751.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 157465426800.

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, 16482025 + ... + 16491575.

It is an arithmetic number, because the mean of its divisors is an integer number (2294868000).

Almost surely, 2^157465426800 is an apocalyptic number.

157465426800 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 157465426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275384160000).

157465426800 is an abundant number, since it is smaller than the sum of its proper divisors (393302893200).

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

157465426800 is a wasteful number, since it uses less digits than its factorization.

157465426800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10832 (or 10821 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 157465426800 in words is "one hundred fifty-seven billion, four hundred sixty-five million, four hundred twenty-six thousand, eight hundred".