157540266620000 has 960 divisors, whose sum is σ = 454217785781760. Its totient is φ = 53167104000000.

The previous prime is 157540266619991. The next prime is 157540266620029. The reversal of 157540266620000 is 26662045751.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40951458077 + ... + 40951461923.

It is an arithmetic number, because the mean of its divisors is an integer number (473143526856).

Almost surely, 2^{157540266620000} is an apocalyptic number.

157540266620000 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 157540266620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227108892890880).

157540266620000 is an abundant number, since it is smaller than the sum of its proper divisors (296677519161760).

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

157540266620000 is a wasteful number, since it uses less digits than its factorization.

157540266620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 157540266620000 in words is "one hundred fifty-seven trillion, five hundred forty billion, two hundred sixty-six million, six hundred twenty thousand".