157551751898478 has 256 divisors, whose sum is σ = 414823833446400. Its totient is φ = 43368709063680.

The previous prime is 157551751898447. The next prime is 157551751898483. The reversal of 157551751898478 is 874898157155751.

157551751898478 is a `hidden beast` number, since 1 + 5 + 7 + 5 + 5 + 1 + 7 + 51 + 8 + 98 + 478 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 157551751898397 and 157551751898406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9973515676 + ... + 9973531472.

It is an arithmetic number, because the mean of its divisors is an integer number (1620405599400).

Almost surely, 2^{157551751898478} is an apocalyptic number.

157551751898478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157551751898478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207411916723200).

157551751898478 is an abundant number, since it is smaller than the sum of its proper divisors (257272081547922).

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

157551751898478 is a wasteful number, since it uses less digits than its factorization.

157551751898478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17752 (or 17746 counting only the distinct ones).

The product of its digits is 3951360000, while the sum is 81.

The spelling of 157551751898478 in words is "one hundred fifty-seven trillion, five hundred fifty-one billion, seven hundred fifty-one million, eight hundred ninety-eight thousand, four hundred seventy-eight".